Answer:
9 square units
Step-by-step explanation:
You can use the Pick's formula:
[tex]A=i+\dfrac{b}{2}-1[/tex]
Where
[tex]i[/tex] - the number of lattice points inside the polygon
[tex]b[/tex] - number of lattice points on the border located on the perimeter of the polygon
From the picture we have:
[tex]i=5\\\\b=10[/tex]
Substitute:
[tex]A=5+\dfrac{1}{2}\cdot10-1=5+5-1=10-1=9[/tex]
